4a-9=7a+30

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Solution for 4a-9=7a+30 equation:


Simplifying
4a + -9 = 7a + 30

Reorder the terms:
-9 + 4a = 7a + 30

Reorder the terms:
-9 + 4a = 30 + 7a

Solving
-9 + 4a = 30 + 7a

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '-7a' to each side of the equation.
-9 + 4a + -7a = 30 + 7a + -7a

Combine like terms: 4a + -7a = -3a
-9 + -3a = 30 + 7a + -7a

Combine like terms: 7a + -7a = 0
-9 + -3a = 30 + 0
-9 + -3a = 30

Add '9' to each side of the equation.
-9 + 9 + -3a = 30 + 9

Combine like terms: -9 + 9 = 0
0 + -3a = 30 + 9
-3a = 30 + 9

Combine like terms: 30 + 9 = 39
-3a = 39

Divide each side by '-3'.
a = -13

Simplifying
a = -13

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